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九江市直重点高中录取分数线情况
据了解,九江一中、同文中学、市三中今年共招收9个重点班(含三中一个重点文科班),依据学生填报志愿,经测算重点班最低录取分数线为658分.由于报考九江一中考生人数集中,凡第一志愿报考九江一中重点班的考生,从高分到低分划定录取分数线为679分.九江一中、同文中学、市三中今年面向市直20所初中生源学校招收1435名均衡生,其中九江一中共招收525名,同文中学共招收420名,市三中共招收490名.今年市直重点高中均衡招生最低录取控制线为540分.均衡生录取将严格按照分配到各生源学校的均衡招生计划和"在籍直升生"的考生志愿,从高分到低分录取(不得低于540分).未完成的均衡招生计划统一由市中招办收回,纳入重点高中普通班招生计划中,不再进行均衡生调剂录取.依据学生填报志愿,经测算九江一中、同文中学、市三中普通班、一中八里湖新校区、市外国语学校重点班、市七中重点班最低录取控制线为561分.由于填报一中普通班人数相对集中,一中普通班从高分到低分划定录取分数线为612分.未录取重点高中的考生可参加一般高中、职业学校的录取.
另外,根据各县(市、区)师范定向生招生计划及考生填报志愿,为确保生源质量,今年我市师范定向生最低录取控制线为418分(个别县区计划未录满经申报后可在本县内调剂录取),中考中招改革实验区师范定向生最低录取控制等级为4B3C.为了严肃招生纪律,规范招生秩序,根据省、市有关文件规定,九江一中、同文中学、市三中重点班不得违规招收"跳档生".根据《江西省2015年中等学校招生工作有关规定》,各普通高中凡违反规定跨市(县、区)招生、超计划招生、线下招生的学生,不能进入全省统一录取库,因违规招生所引起的一切后果由招生学校责任人负责.
永修县划定2015年高中招生录取分数线
7月8日,县教育局召开全县高中招生录取工作会,出台了《永修县2015年高中招生录取办法》,按照高中学校招生计划及考生志愿,划定了各招生学校录取最低控制分数线.
永修一中计划招生1050人,其中重点班招生315人,录取最低控制分数线 583分;均衡生招生735人,录取最低控制分数线440分.
永修二中计划招生1110人,其中重点班招生350人,录取最低控制分数线446分;普通班招生760人,录取最低控制分数线365分.
永修县职教中心计划招生1000人,其中县职业高中招生800人,升学班、艺术班录取最低控制分数线300分,其他专业可不受中考分数限制;县卫生职业学校招生200人,录取最低控制分数线300分.
此外,定向师范生计划招录30人,其中定向小学师范生20 人,拟录最低控制分数线581人,定向幼儿师范招生10人,拟录最低控制分数线为554分.
同去年相比,今年全县高中招生计划人数维持不变,重点高中70%的均衡招生比例不变,并有以下四个方面值得关注:一是认真执行省、市教育部门关于取消高中招收择校生的政策;二是允许高中学校分层教学,但不准利用分层教学班提高收费标准或收取择班费;三是实行招生奖励政策,一方面对做好优质生源在本县高中就读工作的初中学校实行奖励,另一方面允许县职业高中自行制定收费优惠政策吸引优质生源;四是严肃招生工作纪律,按照《关于进一步规范全县中小学招生行为的通知》和县教育局《关于全面推进"一评选三治理"专项活动通知》要求,坚决制止和查处各种违规招生行为.
县中招办提醒广大考生及其家长,新生一律凭县中招办下发的录取通知书报名和办理高中学籍转接手续,县一中、县二中新生报名时间为7月18日-20日.
九江一中2015—2016学年上学期期中考试高
一数学试卷
满分：150 考试时间11月11日15:00-17：00 命题人：黄俊华 审题人：高一备课组
一、选择题：(本大题共12小题，每小题5分，满分60分．)
1.已知集合
，则集合B中元素的个数为( )
A．3 B．5 C．7 D．9 2. 已知集合 A．3.函数A．
B．
，
C．
，则（ ） D．
的定义域为（ ）
B．
C．
D．
4.下列函数中，既为奇函数又在A．5. 函数
B．
内单调递减的是（ ） C．
的图象必经过点（ ）.
D．
A．(0，1) B．(1，1) C． (2， 0) D．(2，2) 6. 若A．
7.定义在A．C.
，
，
B．
上的偶函数
在
，则（ ）. C．
D．
上是减函数则 ( ) .
B.
D.
8.若A．9.函
数
B．
为上单调递减的函数，那么实数的取值范围是( ) C．
D．
，
且
，满
足
幂函数，对任
意
，若，且，则的值 （ ）
A． 恒大于 B． 恒小于 C． 等于 D． 无法判断
10.已知
是定义在
上的奇函数，当
时，
，则
在
上的表达
式为（ ） A．
B．
C．
D．
11.已知A．12. 偶函数
8
B．
，则 C．
时，
的解集为（ ）
D．
；②对任意
，不等式
满足下列条件①
恒成立，则实数的取值范围是( )
A． B． C． D．
二、填空题：（本大题共4小题，每小题5分，满分20分．）
13．函数
的零点在区间
内，则
.
14．若函数15.已知 16.函数
满足
（
，则），则
. .
的定义域为
，则 函数
，且为奇函数，当
时，
的所有零点之和为 .
三、解答题：（本大题共6小题，共70分）
17. （满分10分）计算：（Ⅰ）
（Ⅱ）已知
（其值用
表示）
18．（满分12分）已知集合
，
（为实常数）.
（Ⅰ）若
，求； （Ⅱ）若
，求实数a的取值范围.
19.（满分12分）已知（Ⅰ）若
20．（满分12分）设函数
(I)求常数的值； (II)
若已知
，求实数
，且函数
的值.
(为常数).
的值域.
为奇函数，求实数的值； （Ⅱ）在Ⅰ的前提下，求
（且）是奇函数.
在区间
上的最小值为
21．（满分12分）已知函数
（I）求函数定义域并判断是否存在一个实数，使得函数
（）.
的图像关于某一条垂直于
轴的直线对称？若存在，求出这个实数；若不存在，说明理由. （II）当
22． （满分12分）对于两个定义域相同的函数
，则称函数
（1）若（2）若
求
和
由函数
的取值范围；
”生成一个函数
，使之满足下列件：
是由“基函数生成一个偶函数
，
，若存在实数”生成的． ，求
的值；
生成，
使
的最大值为时，求实数的值.
（3）试利用“基函数
①是偶函数；②有最小值；求函数明) ．
的解析式并进一步研究该函数的单调性(无需证
九江一中2015—2016学年上学期期中考试高
一数学试卷
满分：150 考试时间11月11日15:00-17：00 命题人：黄俊华 审题人：高一备课组
一、选择题：(本大题共12小题，每小题5分，满分60分．)
1.已知集合
，则集合B中元素的个数为( B )
A．3 B．5 C．7 D．9 2. 已知集合 A．3.函数A．
B．
，
C．
，则（ B ） D．
的定义域为（ D ）
B．
C．
D．
4.下列函数中，既为奇函数又在A．5. 函数
B．
内单调递减的是（ C ） C．
D．
的图象必经过点（ C ）.
A．(0，1) B．(1，1) C． (2， 0) D．(2，2) 6. 若A．
7.定义在A．C.
，
，
B．
上的偶函数
在
，则（ C ）. C．
D．
上是减函数则 ( A ) .
B.
D.
8.若A．9.函
数
B．
为上单调递减的函数，那么实数的取值范围是( A ) C．
D．
，
且
，满
足
幂函数，对任
意
，若，且，则的值 （ A ）
A． 恒大于 B． 恒小于 C． 等于 D． 无法判断
九江一中2015—2016学年上学期期中考试
高一数学试卷
一、选择题：(本大题共12小题，每小题5分，满分60分．)
1.已知集合
，则集合B中元素的个数为( )
A．3 B．5 C．7 D．9 2. 已知集合 A．3.函数
A．
B．
，
C．
，则（ ） D．
的定义域为（ ）
B．
C．
D．
4.下列函数中，既为奇函数又在A．5. 函数
B．
内单调递减的是（ ）
C．
的图象必经过点（ ）.
D．
A．(0，1) B．(1，1) C． (2， 0) D．(2，2) 6.
若A． 7.定义在A．C.
，
，
B
． 上的偶函数
在
，则（ ）. C．
D．
上是减函数则 ( ) .
B. D.
8.若A．
B．
为上单调递减的函数，那么实数的取值范围是( ) C．
D．
9.函数若
，且
幂函数，对任意，则
，且
的值 （ ）
，满足，
A． 恒大于 B． 恒小于 C． 等于 D． 无法判断
10.已知A．
是定义在上的奇函数，当时， C．
，则 D．
在上的表达式为（ ）
B．
11.已知A．12.
偶函数
8
B．
，则 C．
时，
的解集为（ ）
D．
；②对任意
，不等式
满足下列条件①
恒成立，则实数的取值范围是( )
A． B． C． D．
二、填空题：（本大题共4小题，每小题5分，满分20分．）
13．函数
的零点在区间
内，则
.
14．若函数15.已知 16.函数则 函数
满足
（
，则），则
. .
的定义域为，且为奇函数，当时，，
的所有零点之和为 .
三、解答题：（本大题共6小题，共70分）
17. （满分10分）计算：（Ⅰ）
（Ⅱ）已知
18．（满分12分）已知集合
， （其值用
表示）
（为实常数）.
（Ⅰ）若
，求； （Ⅱ）若
，求实数a的取值范围.
19.（满分12分）已知（Ⅰ）若
20．（满分12分）设函数
(I)求常数的值； (II)若已知
的值.
，且函数
(为常数).
的值域.
为奇函数，求实数的值； （Ⅱ）在Ⅰ的前提下，求
（且）是奇函数.
在区间上的最小值为，求实数
21．（满分12分）已知函数
（I）求函数定义域并判断是否存在一个实数，使得函数
对称？若存在，求出这个实数；若不存在，说明理由. （II）当
22． （满分12分）对于两个定义域相同的函数称函数（1）若（2）若
求
是由“基函数
和
由函数
的取值范围；
”生成的． 生成一个偶函数
，
，求
的最大值为时，求实数的值.
（）.
的图像关于某一条垂直于轴的直线
，若存在实数使，则
的值；
生成，
（3）试利用“基函数
①是偶函数；②有最小值；求函数
”生成一个函数，使之满足下列件：
的解析式并进一步研究该函数的单调性(无需证明) ．
九江一中2015—2016学年上学期期中考试高一数
学试卷
一、选择题：(本大题共12小题，每小题5分，满分60分．)
1.已知集合
，则集合B中元素的个数为( B )
A．3 B．5 C．7 D．9 2. 已知集合 A．3.
函数A．
B．
，
C．
，则（ B ） D．
的定义域为（ D ）
B．
C．
D．
4.下列函数中，既为奇函数又在A．5. 函数
B．
内单调递减的是（ C ）
C．
D．
的图象必经过点（ C ）.
A．(0，1) B．(1，1) C． (2， 0) D．(2，2) 6. 若
A． 7.定义在A．C.
，
，
B．
上的偶函数
在
，则（
C ）. C．
D．
上是减函数则 ( A ) .
B. D.
8.若A．
B．
为上单调递减的函数，那么实数的取值范围是( A ) C．
D．
9.函数若
，且
幂函数，对任意，则
，且
的值 （ A ）
，满足，
A． 恒大于 B． 恒小于 C． 等于 D． 无法判断 10.已知
是定义在上的奇函数，当时，
，则在上的表达式为（ D ）
A． B． C． D．
11.已知A．12.
偶函数
8
B．
，则 C．
时，
的解集为（ C ）
D．
；②对任意
，不等式
满足下列条件①
恒成立，则实数的取值范围是( A )
A． B． C． D．
二、填空题：（本大题共4小题，每小题5分，满分20分．）
13．函数
的零点在区间
内，则
2 .
14．若函数15.已知16.函数则 函数
满足
（
的定义域为
，则），则
，且
4 . 23 . 为奇函数，当
时，
，
的所有零点之和为 5 .
三、解答题：（本大题共6小题，共70分）
17. （满分10分）计算：（Ⅰ）
（Ⅱ）已知
（其值用
表示）
解：（I） （II）
，
（为实常数）.
18．（满分12分）已知集合
（Ⅰ）若，求； （Ⅱ）若
，求实数a的取值范围.
解：（I）（II）
，
所以
九江一中2015--2016年上学期期中考试高一英语试卷
本试卷分第I卷和第II卷两部分。
第I卷
第一部分 听力（共两节，满分30分）
第一节（共5小题；每小题1.5分,满分7.5分）听下面5段对话。每段对话后有一个小题，从题中所给的
A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一题。每段对话仅读一遍。
1. Why did the girl get a zero?
A. She was absent last night.
B. She turned the homework in late.
C. She didn’t turn in her homework
2. What does the man have to do first?
A. Pull over B. Keep driving C. Check a map
3. What did the boy do over the weekend?
A. He went on a trip.
B. He ate at a restaurant.
C. He did his homework.
4. What does the boy mean?
A. His head hurts a lot.
B. He dislikes his teacher.
C. He doesn’t want to give a speech.
5. Where are the speakers likely to be?
A. In a classroom B. In an office. C. In a store.【2016江西九江3中高一录取分数线】
第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。每段对话或独白读两遍。
听第6段材料，回答第6、7题。
6. How long does the man want to spend in Paris?
A. Two weeks. B. Eight days. C. One week.
7. Why does the woman probably want to fly?
A. It’s cheaper.
B. It would save time.
C. She doesn’t like driving.
听第7段材料，回答第8至10题。
8. What is the difference between the two kinds of bowling?
A. Lawn bowling is played outdoors.
B. Regular bowling uses smaller balls.
C. You get more points in normal bowling.
9. When will the man learn how to play the game?
A. This afternoon.
B. Wednesday morning.
C. Wednesday afternoon.
10. How much are the lessons?
A. $0. B. $2. C. $4.
听第8段材料，回答第11至13题。
11. Where are fast-food restaurants especially popular?
A. In big cities. B. In small cities. C. In small countries.
12. What is the main reason that McDonald’s is so popular?
A. The service. B. The food. C. The prices.
13. What will the speakers get from McDonald’s later?
A. Sandwiches. B. French Fries. C. Hamburgers.
听第9段材料，回答第14至17题。
14. When is the camp?
A. During the school year.
B. In the middle of winter.
C. In the summertime.
15. How many students will go to the camp?
A. 20. B. 21. C. 300.
16. What would the woman like to study?
A. How animals act.
B. How plants change.
C. The way animals grow.
17. Who will join the camp staff this year？
A. A famous explorer. B. An animal expert. C. A plant scientist.
听第10段材料，回答第18至20题。
18. What was the land around Pompeii like?
A. Quite poor for trade.
B. Good for growing things.
C. Too rocky for building things.
19. What caused Pompeii’s destruction?
A. An earthquake. B. A volcano. C. A storm.
20. When was Pompeii discovered again?
A. In the 1700s. B. In the 1600s. C. In 79 AD.
第二部分 阅读理解（共20小题；每小题2分，满分40分）
第一节（共15小题；没小题2分，满分30分）
阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项。
A
A man who failed to return more than 700 children’s books to five different libraries in the county was put into prison. Yesterday he was set free after a book publisher agreed to post his bond (担保金) of $1,000. The
publisher said, “There’s a story here. This is a man who loves books. He just can’t let go of them. He hasn’t stolen a single book. So what’s the crime? We think that Mr. Brush has a story to tell. We plan to publish his story.”
When asked why he didn’t return the books, Mr. Brush said, “Well, how could I? They became friends to me. I was afraid to return them, because I knew that kids or dogs would get hold of these books and chew them up, throw them around, rip the pages, spill soda on them, get jam and jelly on them, and drown them in the toilet.”
He continued, “Books are people, too! They talk to you, they take care of you, and they enrich you with wisdom and humor and love. A book is my guest in my home. How could I kick it out? I repaired torn pages. I dusted them. I turned their pages so they could breathe and get some fresh air.
“Every week I reorganized them on their shelves so they could meet new friends. My books were HAPPY books. You could tell just by looking at them. Now they’re all back in the library, on the lower shelves, on the floors, at the mercy of all those runny-nosed kids. I can hear them calling me! I need to rescue them. Excuse me. I have to go now.”
21. Why was the man put into prison?
A. Because he refused to return the books that he had borrowed.
B. Because the book publisher persuaded the police to do so.
C. Because he stole 700 children's books from the five different libraries.
D. Because he wanted to publish his story.
22. How did the man treat books?
A. He treated them as his furniture. B. He treated them as his own children.
C. He treated them as real people. D. He treated them as his job.
23. From the passage we can learn that the man is _____.
A. a thief B. crazy about books C. a writer D. unfortunate
24. What might happen after the man was set free?
A. He might stop borrowing books from libraries.
B. He might start a library of his own.
C. He might go on borrowing books from libraries.
D. He might return all his books to the libraries.
B
Try to Be Optimistic
I began to grow up that winter night when my parents and I were returning from my aunt’s house, and my mother said that we might soon be leaving for America. We were on the bus then. I was crying, and some people on the bus were turning around to look at me. I remember that I could not bear the thought of never hearing again the radio program for school children to which I listened every morning.
I do not remember myself crying for this reason again. In fact, I think I cried very little when I was saying goodbye to my friends and relatives. When we were leaving I thought about all the places I was going to see—the strange and magical places that I had known only from books and pictures. The country I was leaving never to come back was hardly in my head then.
The four years that followed taught me the importance of optimism, but the idea did not come to me at once. For the first two years in New York I was really lost—having to study in three schools as a result of family moves. I did not quite know what I was or what I should be. Mother remarried, and things became even more complex for me. Some time passed before my stepfather and I got used to each other. I was often sad, and saw no end to “the hard times.”
My responsibilities in the family increased a lot since I knew English better than everyone else at home. I wrote letters, filled out forms, translated at interviews with immigration（移民）officers, took my grandparents to the doctor and translated there, and even discussed telephone bills with company representatives.
From my experiences I have learned one important rule: Something good is certain to happen in the end when you do not give up, and just wait a little! I believe that my life will turn out all right, even though it will not be that easy.
25. How did the author get to know America?
A. From her relatives B. From books and pictures
C. From her mother D. From radio programs
26. For the first two years in New York, the author_______.
A. studied in three different schools B. did not think about her future
C. often lost her way D. got on well with her stepfather
27. What can we learn about the author from Paragraph 4?
A. She worked as a translator B. She paid telephone bills for her family
C. She helped her family with her English D. She attended a lot of job interviews
28. The author believes that ________.
A. her future will be free from troubles
B. it is difficult to learn to become patient
C. there are more good things than bad things
D. good things will happen if one keeps trying
C
Being able to multitask-doing(多重任务处理) several things at the same time is considered a welcome skill by most people. But if we consider the situation of the young people aged from eight to eighteen, we should think again.
What we often see nowadays is that young people (电子产品) as they study. While working, they also surf on the Internet, send out emails, answer the telephone and listen to music on their iPods. In a sense, they are spending a large amount of time in fruitless efforts as they multitask.
Multitasking is even changing the relationship between family members. As young people give so much attention to their own worlds, they seem to have no time to spend with the other people around them. They can no longer greet family members when they enter the house, nor can they eat at the family table.
Multitasking also has an effect on young people's performance at university and in the workplace. When asked about their opinions of the effects of electronic devices on their performance of tasks, many young people gave a positive response. However, the response from the worlds of education and business was not quite as positive. Educators feel that multitasking by children has a serious effect on later development of study skills. They believe that many college students now need help to improve their study skills. Similarly, employers feel that young people entering the job market need to be taught all over again, as electronic devices have made it unnecessary for them to learn special skills to do their work.
29. What does the underlined word "juggle" most probably mean?
A. use at the same time. B. take the place of.
C. want to buy. D. search information from.
30. In Paragraph 3, the author pointsout that ________.
A. family members do not greet each other
B. family members do not eat at the family table
C. young people hardly communicate with their family members
D. young people get on well with their families
31. What's the main idea of the last paragraph?
A. Young people must learn skills for future jobs.
B. Multitasking influences young people's development seriously.
C. Multitasking is an important skill to young people.
D. Young people benefit a lot from modern devices.
D
When travelers check the flight board at the airport and see some routes are being called off, it can fill them with a sense of worry. This can happen to any tourist at any time, due to airline strikes, volcanic eruptions(火山爆发) or a number of other disasters. While they will possibly be late to return home, there are several things travelers can do before departing or during an emergency(紧急情况) that can help the process go as smoothly as possible.
According to Australia News, travelers should be well-informed about the place they plan to visit ahead of time. If journeying to a place that’s known for flooding or hurricanes, a daily weather check by smart phone or laptop may help tourists not take the airport all together if an emergency should happen unexpectedly.
Some travelers may wish to stay away from the daily news while trying to relax on vacation, but it can be important to know the latest event in your new place. If trouble seems to be happening, travelers can make several plans before the crowds form.
Having help on speed dial is the key to quickly finding solutions in time of need. Organizing some kind of escape route for travelers and their loved ones will keep everyone knowing where they are during an emergency. Know where the highest ground is in areas likely to be flooding, or plan out a way to escape fire at the hotel
before disaster strikes.
One important way to prepare for emergency situations is ensuring travelers have at least two forms of payment. Local money is key when there is not an ATM or a credit card is useless. If guests in a foreign country have to offer payment for last minute transportation plans out of an area, having cash on hand may be the easiest way to find quick solutions to stay safe, according to Money Wise.
Preparing for the worst and hoping for the best is the ideal way to travel, just in case any natural disasters, illnesses or other tough disasters get in the way of a vacation. This will lessen as much stress as possible when dealing with emergencies that can happen on a trip.
32. What does the passage mainly talk about?
A. What to do when a disaster happens on a trip
B. Preparing for the worst and hoping for the best
C. How to make good preparations for a travel abroad
D. How to plan for quick escape and emergencies on vacation
33. How many main particular preparations for emergency does the author suggest in the passage?
A. 3 B. 4 C. 5 D. 6
34. According to the passage, when traveling abroad, travelers ________________.
A. should check the daily weather at hometown by smart phone
B. had better not pay attention to the latest news in the new place
C. should turn off their telephones to enjoy themselves
D. need to prepare two or more forms of payment
35. The author writes this article in order to help those who ___________.
A. want to travel on holidays B. hope to settle abroad
C. have survived a disaster D. stay in dangerous situations
第二节（共5小题；每小题2分，满分10分）
根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。选项中有两项为多余选项。
How to Love Your Parents
Even if you think that your parents are mean-spirited at times, loving your parents is a normal and fulfilling part of life. You love them for the fact that they created you, raised you, and are in part a source of who you are. Here are some ways to love your parents. __A gentle “good morning” and “I love you” will warm a coldest heart. Remember that they brought you into this world. Without your parents, you might still wander at an unknown corner in an unknown world. Respect them more and cherish these moments. You can use these moments to learn from them when you’re off on your own. It’s OK to get angry but angry actions don’t help you or your parents. Act calmly, cool off, keep a
Obey their requests. It will make your attitude better and earn you more respect from them. It may seem like you are going through hell when you don’t get what you want or you have to clean. However, you had better remember they keep a roof over your head when it’s cold, raining, snowing, or too hot. Understand that parents Keep company with them. Do things with your parents like watching TV, or go somewhere with another. way. Parents do not have a right to harm you.
A．Parents will in turn express their love to you.
2015-2016学年江西省九江市高一（下）期末数学试卷
一、选择题（共16小题，每小题5分，满分60分）
1．函数y=2sin（4x+
A．2π B．π C．）+1的最小正周期是（ ） D．
， 是两个不共线的向量，若=4+与=﹣λ共线，2．[重点中学做]已知向量
则λ的值为（ ）
A．﹣4 B．﹣ C． D．4
3．[普通中学做]已知向量=（1，k），=（2，3），若∥，则实数k的值为（ ） A．﹣ B． C．﹣ D．
）
A．0.7 B．0.6 C．0.4 D．0.3
5．执行如图的程序后，输出的结果是（ ）
A．1，3 B．4，1 C．0，0 D．4，﹣2
6．[重点中学做]已知tan（α﹣
A
．
B
．3
）=2，则tanα=（ ） C．﹣
D．﹣3
+
β
）的值为（
）
C． D．﹣ 7
．已知
sin
β
=
，则
cos
（
A
．﹣【2016江西九江3中高一录取分数线】
B
．
8．某学校决定从高一（1）班60名学生中利用随机数表法抽取10人进行调研，先将60名学生按01，02，…，60进行编号；如果从第8行第7列的数开始从左向右读，则抽取到的第4个人的编号为（ ）
（下面摘取了第7行到第9行）
8442 1753 3157 2455 0688 7704 7447 6721 7633 5026 8392
6301 5316 5916 9275 3862 9821 5071 7512 8673 5807 4439
1326 3321 1342 7864 1607 8252 0744 3815 0324 4299 7931． A．16 B．38 C．21 D．50
9．如图所示，在正方形ABCD中，E、F、G分别是边BC、CD、DA的中点，令x=•，y=•，z=•，则x，y，z的大小关系为（ ）
A．x=y＞z B．x=z＞y C．y=z＞x D．x=y＜z
10．执行如图所示的程序框图，输出的S值是（ ）
A．0 B． C．1+ D．1+
11．函数f（x）=Asin（ωx+φ）（A＞0，ω＞0）的部分图象如图所示，则f
A．﹣ B． C．2 D．﹣2
12．若函数f（x）=sin（ωx+φ）（ω＞0）在x=π处取最大值，则（ ）
A．f（x﹣π）一定是奇函数 B．f（x﹣π）一定是偶函数
C．f（x+π）一定是奇函数 D．f（x+π）一定是偶函数
13．[重点中学做]定义：[x]表示不超过x的最大整数，例如[1.5]=1，[﹣0.5]=﹣1，给出下列结论：
①函数y=[sinx]是奇函数；
②函数y=[sinx]是周期为π的周期函数；
③函数y=[sinx]﹣cosx不存在零点；
④函数y=[sinx]﹣[cosx]的值域为[﹣1，0，1]．
其中正确结论是（ ）
A．①③ B．②④ C．③④ D．②③
14．[普通中学做]定义：[x]表示不超过x的最大整数，例如：[1.5]=1，[﹣0.5]=﹣1．若f（x）=sin（x﹣[x]），则下列结论中正确的是（ ）
A．y=f（x）的最小值为0，最大值为sin1
B．y=f（x）无最小值，最大值为sin1
C．y=f（x）的最小值为0，无最大值
D．y=f（x）无最小值，无最大值
15．[重点中学做]设H、P是△ABC所在平面上异于A、B、C的两点，用，，，分别表示向量，，，．已知•+•=•+•=•+•，||=1，||=，||=，则∠C=（ ）【2016江西九江3中高一录取分数线】
A． B． C． D．
16．[普通中学做]设H、P是△ABC所在平面上异于A、B、C的两点，用，，，分别表示向量，，，．已知•+•=•+•=•+•，||=||=5，||=6，则||=（ ）
A． B． C． D．
二、填空题（共5小题，每小题5分，满分20分）
17．已知向量=（1，2），﹣=（0，x），⊥，则x=．
18．由下面样本数据利用最小二乘法求出的线性回归方程是=﹣20x+a，则实数a=
20．[重点中学做]已知函数f（x）=sin（ωx+
的取值范围是
． 21．[普通中学做]若函数f（x
）
=sin
ω
x
（
ω
＞
）在
[
围是
． 三、解答题（共
6
小题，满分
60
分）
22
．运行如图程序框图．
（1）当输入
x
的值等于
2
π
时，求输出y的值；
（2）当输出y的值最大时，求输入x的值． ，]上单调递增，则ω的取值范）（ω＞0）在（
，
π
）上单调递减，则
ω
23．已知甲、乙两组数据如茎叶图所示，它们的中位数相同，平均数也相同．
（1）求m，n的值；
（2）若从甲、乙两组数据中随机各抽取一个数据，求乙的数据大于甲的数据的概率．
24．[重点中学做]如图所示，以Ox为始边作角α与β（0＜β＜α＜π），它们的终边分别与单位圆相交于点P、Q，已知点P的横坐标为﹣．
（1）求
（2）若•=的值； ，求sinβ的值．
25．[普通中学做]如图所示，以Ox为始边作角α与β（0＜β＜α＜π），它们的终边分别与单位圆相交于点P、Q，已知点Q的横坐标为．
（1）求
（2）若•的值； =，求cosα的值．
26．某班n名学生的综合素质测评成绩（百分制）频率分布直方图如图所示，已知70～80分数段的学生人数为27人，90～95分数段的学生中女生为2人．
（1）求a，n的值；
（2）若从90～95分数段内的学生中随机抽取2人，求其中至少有一名女生的概率．
28．如图所示，四边形ABCD中，AB=AD=2，△BCD为正三角形，设∠BAD=α（α∈（0，π））．
（1）当α=时，求•的值；
（2）[重点中学做]当α为多少时，△ABC的面积S最大？并求S的最大值．
（3）[普通中学做]记△BCD的面积S=f（α），求函数g（α）=f（α）﹣2sinα的最小值．
请考生在第29~31题中任选一题作答，如果多做，则按所做的第一题计分。（共3小题，满分10分）
29．已知向量=（1，2），=（﹣1，2），=（5，2）．
（1）求满足=m+n的实数m、n；
（2）若（+k）⊥，求实数k的值．
30．已知向量，是夹角为60°的两个单位向量， =，且．
（1）求实数λ的值；
（2）求向量的模||．
31．已知向量与的夹角为30°，且||=2，||=．
（1）求|﹣2|的值；
（2）设向量=+2， =﹣2，求向量在方向上的投影．
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